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These provide yet another perspective in our study, derived from one which was pioneered by Wu Wen-Ts¨ un [111]and [112] for smooth manifolds. Those Poincar´e duality quotients of F q V supporting Steenrod operations which have trivial Wu classes are closely related to the Hit Problem of ﬁnding a minimal generating set for F q V as a module over P∗ . 5) to study families of Poincar´ e duality quotients with trivial Wu classes at the end of this Part as well as in Parts IV, V and VI. g. [68] Chapter 8, [87] Chapters 10 and 11, or [90]).